The England frontman moved to Anfield last week in a £4m deal from Southampton, becoming Brendan Rodgers' first signing of the summer.

At 32, Lambert's capture is not seen as one for the long-term, but Carragher believes with Liverpool competing on both domestic and European fronts next season, it will prove a shrewd move by the club.

"I think it's a very good signing," he said. "He's a local boy, a Liverpool fan, and it's probably been a dream for him.

"There'll be lots of games with Liverpool being involved in the Champions League, so he'll play his part and I'm sure he'll get some goals."

Lambert served notice of his goalscoring ability by netting in England's friendly draw with Ecuador in Miami on Wednesday, his third goal in five international appearances.

He will be one of six Liverpool players in Roy Hodgson's squad for the World Cup, which gets underway in Brazil next week, and Carragher says he is keen to see all of the Reds' stars do well on the big stage.

He said: "I'm eager for them all to do well - also Suarez, who is playing against England, so that'll be difficult.

"I think England will qualify from the group and then who knows who they'll get in the draw.

"It's normally the quarter-finals for England, and I think it'll be the same again.

"I think Brazil will win it. They're at home, which is always a big advantage.

"It's been a long time for Brazil not winning the trophy. They played very well last summer in the Confederations Cup, so I put them as favourites."